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Finding the Fourth Proportional to 1,799.85, 2,700.17 and 567.39

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Solution

The fourth proportional to 1,799.85, 2,700.17 and 567.39 is: 851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.85 : 2,700.17 = 567.39 : x
  2. Step 2: Convert to fraction form
    1,799.85/2,700.17 = 567.39/x
  3. Step 3: Cross multiply
    1,799.85x = 2,700.17 × 567.39
  4. Step 4: Simplify right side
    1,799.85x = 1,532,046.62
  5. Step 5: Solve for x
    x = 1,532,046.62/1,799.85
  6. Step 6: Final answer
    x = 851.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.